Finite Group Databasebeta

← #7710145

Subgroups — #7710145

Order 512.

7082 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3564C211yesmaximal, characteristic, complemented
2C23×#126C211yesmaximal, characteristic, complemented
3#59170C214yesmaximal, complemented
4#59169C214yesmaximal, complemented
5#45971C214yesmaximal, complemented
6#45971C214yesmaximal, complemented
7#39117C212yesmaximal, complemented
8#38913C212yesmaximal, complemented
9#38047C212yesmaximal, complemented
10#38046C212yesmaximal, complemented
11#37727C214yesmaximal, complemented
12#37727C214yesmaximal, complemented
13#37726C214yesmaximal, complemented
14#37724C214yesmaximal, complemented
15#37548C211yesmaximal, characteristic, complemented
16#37538C211yesmaximal, characteristic, complemented
17#36971C211yesmaximal, characteristic, complemented
18#36970C211yesmaximal, characteristic, complemented
19#36962C211yesmaximal, characteristic, complemented
20#36960C211yesmaximal, characteristic, complemented
21#36625C211yesmaximal, characteristic, complemented
22#36621C211yesmaximal, characteristic, complemented
23#36546C212yesmaximal, complemented
24#36163C212yesmaximal, complemented
25#36158C212yesmaximal, complemented
26#36158C212yesmaximal, complemented
27#35224C211yesmaximal, characteristic, complemented
28#34989C211yesmaximal, characteristic, complemented
29#34988C211yesmaximal, characteristic
30#34982C211yesmaximal, characteristic, complemented
31#34381C211yesmaximal, characteristic, complemented
32#3564—216no—
33C2×#563C2212yescomplemented
34C2×#563C2212yescomplemented
35C2×#556C2212yescomplemented
36C2×#554C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#551C2212yes—
40C2×#551C2212yes—
41C2×#544C2211yescharacteristic, complemented
42C2×#543C2211yescharacteristic
43C2×#542C2212yescomplemented
44C2×#541C2212yescomplemented
45C2×#541C2212yescomplemented
46C2×#539C2211yescharacteristic, complemented
47C2×#539C2212yescomplemented
48C2×#538C2211yescharacteristic
49C2×#533C2211yescharacteristic, complemented
50C2×#529C2211yescharacteristic, complemented
51C22×#126—216no—
52C22×#126C2211yescharacteristic
53C22×#126C2214yes—
54C22×#126C2214yes—
55C22×#126C2214yes—
56C22×#126C2211yescharacteristic
57C22×#126C2211yescharacteristic
58C22×#126C2214yes—
59C22×#126C2211yescharacteristic
60C22×#126C2211yescharacteristic
61C22×#126C2211yescharacteristic
62C22×#126C2211yescharacteristic
63C22×#126C2211yescharacteristic
64C23×C4⋊C4C2211yescharacteristic
65C23×C4⋊C4C2211yescharacteristic
66C23×C4⋊C4C2211yescharacteristic
67C23×C22⋊C4C2211yescharacteristic
68C23×C22⋊C4C2211yescharacteristic
69C23×C22⋊C4C2211yescharacteristic
70C23×C42C2211yescharacteristic
71#2857C2212yescomplemented
72#2857C2212yescomplemented
73#2855C2212yescomplemented
74#2855C2211yescharacteristic, complemented
75#2855C2211yescharacteristic, complemented
76#2855C2211yescharacteristic, complemented
77#2854C2211yescharacteristic, complemented
78#2853C2212yescomplemented
79#2852C2214yescomplemented
80#2851C2212yescomplemented
81#2851C2214yescomplemented
82#2850C2212yescomplemented
83#2849C2212yes—
84#2849C2212yes—
85#2848C2211yescharacteristic
86#2848C2212yes—
87#2848C2211yescharacteristic
88#2848C2211yescharacteristic
89#2848C2212yes—
90#2848C2212yes—
91#2847C2211yescharacteristic
92#2846C2212yes—
93#2823C2214yescomplemented
94#2821C2212yescomplemented
95#2821C2212yescomplemented
96#2727C2214yescomplemented
97#2727C2214yescomplemented
98#2725C2214yescomplemented
99#2725C2214yescomplemented
100#2725C2214yescomplemented
101#2723C2214yescomplemented
102#2723C2214yescomplemented
103#2722C2214yescomplemented
104#2722C2214yescomplemented
105#2722C2214yescomplemented
106#2721C2214yescomplemented
107#2721C2214yescomplemented
108#2721C2214yescomplemented
109#2718C2214yescomplemented
110#2718C2214yescomplemented
111#2716C2214yescomplemented
112#2716C2214yescomplemented
113#2716C2214yescomplemented
114#2715C2214yescomplemented
115#2715C2214yescomplemented
116#2705C2214yescomplemented
117#2702C2214yescomplemented
118#2702C2214yescomplemented
119#2698C2214yescomplemented
120#2698C2214yescomplemented
121#2698C2214yescomplemented
122#2695C2214yescomplemented
123#2695C2214yescomplemented
124#2691C2214yescomplemented
125#2689C2214yescomplemented
126#2689C2214yescomplemented
127#2689C2214yescomplemented
128#2664C2214yescomplemented
129#2664C2212yescomplemented
130#2662C2212yescomplemented
131#2637C2214yescomplemented
132#2637C2212yescomplemented
133#2636C2212yescomplemented
134#2627C2211yescharacteristic, complemented
135#2627C2211yescharacteristic, complemented
136#2627C2211yescharacteristic, complemented
137#2627C2212yescomplemented
138#2626C2211yescharacteristic
139#2626C2211yescharacteristic
140#2626C2211yescharacteristic
141#2626C2212yes—
142#2623C2212yescomplemented
143#2622C2212yes—
144#2618C2211yescharacteristic, complemented
145#2617C2211yescharacteristic
146#2604C2212yescomplemented
147#2604C2212yescomplemented
148#2601C2214yescomplemented
149#2583C2212yescomplemented
150#2583C2212yescomplemented
151#2579C2212yescomplemented
152#2579C2212yescomplemented
153#2561C2212yes—
154#2561C2212yes—
155#2560C2214yescomplemented
156#2553C2214yescomplemented
157#2534C2212yes—
158#2534C2212yes—
159#2521C2214yescomplemented
160#2519C2214yescomplemented
161#2519C2214yescomplemented
162#2512C2214yescomplemented
163#2503C2212yescomplemented
164#2502C2212yescomplemented
165#2496C2214yescomplemented
166#2496C2214yescomplemented
167#2487C2212yescomplemented
168#2486C2212yescomplemented
169#2484C2212yescomplemented
170#2484C2212yescomplemented
171#2483C2212yes—
172#2483C2212yes—
173#2482C2212yes—
174#2482C2212yes—
175#2481C2214yescomplemented
176#2481C2214yescomplemented
177#2481C2214yescomplemented
178#2481C2214yescomplemented
179#2480C2214yes—
180#2480C2214yes—
181#2480C2214yes—
182#2480C2214yes—
183#2480C2214yes—
184#2479C2214yescomplemented
185#2478C2214yescomplemented
186#2478C2214yescomplemented
187#2473C2214yescomplemented
188#2473C2214yescomplemented
189#2473C2214yescomplemented
190#2473C2214yescomplemented
191#2473C2214yescomplemented
192#2472C2214yes—
193#2472C2214yes—
194#2472C2214yes—
195#2469C2214yescomplemented
196#2469C2214yescomplemented
197#2468C2214yescomplemented
198#2466C2214yescomplemented
199#2449C2214yescomplemented
200#2449C2214yescomplemented
201#2449C2214yescomplemented
202#2443C2214yescomplemented
203#2442C2214yescomplemented
204#2442C2214yescomplemented
205#2442C2214yescomplemented
206#2440C2214yescomplemented
207#2440C2214yescomplemented
208#2440C2214yescomplemented
209#2437C2214yes—
210#2437C2214yes—
211#2437C2214yes—
212#2437C2214yes—
213#2437C2214yes—
214#2437C2214yes—
215#2424C2214yes—
216#2418C2214yes—
217#2418C2214yes—
218#2418C2214yes—
219#2417C2214yescomplemented
220#2417C2214yescomplemented
221#2413C2212yescomplemented
222#2413C2212yescomplemented
223#2412C2212yes—
224#2412C2214yes—
225#2412C2214yes—
226#2412C2212yes—
227#2411C2212yes—
228#2411C2212yes—
229#2383C2214yescomplemented
230#2373C2214yescomplemented
231#2360C2214yescomplemented
232#2360C2214yescomplemented
233#2358C2214yes—
234#2358C2214yes—
235#2352C2214yescomplemented
236D4×C4⋊C4C2214yescomplemented
237#2345C2212yescomplemented
238#2344C2212yescomplemented
239#2342C2212yes—
240#2342C2214yes—
241#2342C2214yes—
242#2342C2212yes—
243#2334C2214yescomplemented
244#2334C2214yescomplemented
245#2322C2212yescomplemented
246#2321C2212yes—
247#2317C2212yescomplemented
248#2316C2211yescharacteristic, complemented
249#2315C2212yes—
250#2315C2211yescharacteristic
251#2313C2211yescharacteristic, complemented
252#2312C2211yescharacteristic
253C4×C22⋊Q8C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×C22⋊Q8C2212yescomplemented
256C4×C22⋊Q8C2214yescomplemented
257C4×#123C2212yescomplemented
258C4×#121C2212yescomplemented
259C4×#120C2212yes—
260C4×#120C2212yes—
261C4×#120C2212yes—
262#2296C2212yescomplemented
263#2290C2214yescomplemented
264#2285C2211yescharacteristic, complemented
265#2283C2211yescharacteristic, complemented
266#2280C2212yes—
267#2280C2212yes—
268C2×#379C2212yes—
269C26C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272C24×C4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276#563—216no—
277#563—216no—
278#556—216no—
279#554—216no—
280#552—216no—
281#552—216no—
282#551—216no—
283#551—216no—
284#544—28no—
285#543—28no—
286#542—216no—
287#541—216no—
288#541—216no—
289#539—216no—
290#539—28no—
291#538—28no—
292#533—28no—
293C2×C4⋊Q8C2311yescharacteristic, complemented
294C2×C4⋊Q8C2311yescharacteristic, complemented
295C2×C4⋊Q8C2312yescomplemented
296C2×C4⋊Q8C2312yescomplemented
297C2×C4⋊Q8C2312yescomplemented
298#529—28no—
299C2×#126—232no—
300C2×#126—232no—
301C2×#126—232no—
302C2×#126—232no—
303C2×#126—28no—
304C2×#126—28no—
305C2×#126—28no—
306C2×#126—28no—
307C2×#126—28no—
308C2×#126—28no—
309C2×#126—28no—
310C2×#126D4116yescomplemented
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2312yes—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#126C2312yes—
331C2×#126C2312yes—
332C2×#126C2312yes—
333C2×#126C2312yes—
334C2×#126C2312yes—
335C2×#126C2312yes—
336C2×#126C2312yescomplemented
337C2×#126C2312yescomplemented
338C2×#126C2312yescomplemented
339C2×#126C2312yescomplemented
340C2×#125C2311yescharacteristic, complemented
341C2×#125C2312yescomplemented
342C2×#125C2312yescomplemented
343C2×#125C2312yescomplemented
344C2×#125C2312yescomplemented
345C2×#125C2312yescomplemented
346C2×#125C2312yescomplemented
347C2×#125C2312yescomplemented
348C2×#125C2312yescomplemented
349C2×#125C2312yescomplemented
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2311yescharacteristic, complemented
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yescomplemented
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yescomplemented
383C2×C22⋊Q8C2312yescomplemented
384C2×C22⋊Q8C2312yescomplemented
385C2×C22⋊Q8C2312yescomplemented
386C2×C22⋊Q8C2312yescomplemented
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#120C2312yes—
391C2×#120C2312yes—
392C2×#120C2312yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×C4×Q8C2311yescharacteristic, complemented
396C2×C4×Q8C2311yescharacteristic, complemented
397C2×C4×Q8C2312yescomplemented
398C2×C4×Q8C2312yescomplemented
399C2×C4×Q8C2311yescharacteristic, complemented
400C2×C4×Q8C2312yescomplemented
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2311yescharacteristic, complemented
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yescomplemented
417C2×#117C2312yescomplemented
418C22×C4⋊C4—28no—
419C22×C4⋊C4—28no—
420C22×C4⋊C4—28no—
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2314yes—
426C22×C4⋊C4C2314yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2314yes—
431C22×C4⋊C4C2314yes—
432C22×C4⋊C4C2314yes—
433C22×C4⋊C4C2314yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yescomplemented
440C22×C22⋊C4—28no—
441C22×C22⋊C4—28no—
442C22×C22⋊C4—28no—
443C22×C22⋊C4C2311yescharacteristic
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2314yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2314yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2314yes—
461C22×C22⋊C4C2314yes—
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2311yescharacteristic
465C22×C42—28no—
466C22×C42C2312yes—
467C22×C42C2312yes—
468C22×C42C2312yes—
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2312yes—
473C22×C42C2311yescharacteristic
474#400C2312yescomplemented
475#400C2312yescomplemented
476#400C2314yescomplemented
477#400C2314yescomplemented
478#400C2312yescomplemented
479#400C2314yescomplemented
480#400C2314yescomplemented
481#400C2314yescomplemented
482#400C2314yescomplemented
483#400C2314yescomplemented
484#399C2312yes—
485#399C2312yes—
486#399C2314yes—
487#399C2312yes—
488#399C2314yes—
489#399C2314yes—
490#399C2314yescomplemented
491#399C2314yescomplemented
492#398C2314yescomplemented
493#398C2314yescomplemented
494#398C2314yescomplemented
495#398C2314yescomplemented
496#398C2314yescomplemented
497#398C2314yescomplemented
498#398C2314yescomplemented
499#398C2314yescomplemented
500#398C2312yescomplemented
501#398C2314yescomplemented
502#398C2314yescomplemented
503#398C2314yescomplemented
504#398C2314yescomplemented
505#398C2314yescomplemented
506#398C2314yescomplemented
507#398C2314yescomplemented
508#398C2314yescomplemented
509#398C2314yescomplemented
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2312yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yescomplemented
524#397C2314yescomplemented
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yescomplemented
535#396C2314yescomplemented
536#396C2314yescomplemented
537#396C2314yescomplemented
538#396C2314yescomplemented
539#395C2314yescomplemented
540#395C2312yescomplemented
541#395C2312yescomplemented
542#395C2314yescomplemented
543#395C2312yescomplemented
544#395C2314yescomplemented
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yescomplemented
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2312yes—
559#393C2312yes—
560#393C2312yes—
561#392C2312yes—
562#391C2314yescomplemented
563#391C2312yescomplemented
564#391C2312yescomplemented
565#391C2314yescomplemented
566#391C2312yescomplemented
567#391C2314yescomplemented
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yescomplemented
572#389C2314yescomplemented
573#389C2314yescomplemented
574#389C2314yescomplemented
575#389C2314yescomplemented
576#389C2314yescomplemented
577#389C2314yescomplemented
578#389C2314yescomplemented
579#389C2314yescomplemented
580#389C2314yescomplemented
581#389C2314yescomplemented
582#389C2314yescomplemented
583#389C2312yescomplemented
584#389C2312yescomplemented
585#389C2314yescomplemented
586#389C2314yescomplemented
587#389C2312yescomplemented
588#389C2312yescomplemented
589#389C2314yescomplemented
590#389C2314yescomplemented
591#389C2314yescomplemented
592#389C2314yescomplemented
593#389C2314yescomplemented
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yescomplemented
615#388C2314yescomplemented
616#388C2314yescomplemented
617#388C2314yescomplemented
618#388C2314yescomplemented
619#388C2314yescomplemented
620#388C2314yescomplemented
621#387C2314yescomplemented
622#387C2314yescomplemented
623#387C2314yescomplemented
624#387C2314yescomplemented
625#387C2314yescomplemented
626#387C2314yescomplemented
627#387C2314yescomplemented
628#387C2314yescomplemented
629#387C2314yescomplemented
630#387C2314yescomplemented
631#387C2314yescomplemented
632#387C2314yescomplemented
633#387C2314yescomplemented
634#387C2314yescomplemented
635#387C2314yescomplemented
636#387C2314yescomplemented
637#387C2314yescomplemented
638#387C2314yescomplemented
639#387C2314yescomplemented
640#387C2314yescomplemented
641#387C2314yescomplemented
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yescomplemented
696#385C2314yescomplemented
697#385C2314yescomplemented
698#384C2312yescomplemented
699#384C2314yescomplemented
700#384C2314yescomplemented
701#383C2312yescomplemented
702#382C2314yescomplemented
703#382C2312yescomplemented
704#382C2312yescomplemented
705#382C2314yescomplemented
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2312yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yescomplemented
739#380C2314yescomplemented
740#379C2312yes—
741#379C2312yes—
742#379C2312yes—
743#379C2312yes—
744#379C2312yes—
745#379C2314yes—
746#379C2314yes—
747#379C2312yes—
748#379C2312yes—
749#379C2314yes—
750#379C2314yes—
751C4×C4⋊C4C2314yescomplemented
752C4×C4⋊C4C2312yescomplemented
753C4×C4⋊C4C2312yescomplemented
754C4×C4⋊C4C2314yescomplemented
755C4×C4⋊C4C2312yescomplemented
756C4×C4⋊C4C2314yescomplemented
757C4×C4⋊C4C2314yescomplemented
758C4×C4⋊C4C2314yescomplemented
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yescomplemented
772#376C2312yescomplemented
773C25—24no—
774C25—24no—
775C25—42no—
776C25—44no—
777C25—44no—
778C25C2411yescharacteristic
779C25C2414yes—
780C25C2411yescharacteristic
781C25C2411yescharacteristic
782C22×Q8C2412yes—
783C22×Q8C2411yescharacteristic
784C22×Q8C2411yescharacteristic
785C22×Q8C2412yes—
786C22×Q8C2412yes—
787C22×Q8C2411yescharacteristic
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2411yescharacteristic
793C22×D4C2414yes—
794C23×C4—24no—
795C23×C4—24no—
796C23×C4—24no—
797C23×C4—24no—
798C23×C4—24no—
799C23×C4—24no—
800C23×C4—24no—
801C23×C4—24no—
802C23×C4—42no—
803C23×C4—42no—
804C23×C4—44no—
805C23×C4—44no—
806C23×C4—44no—
807C23×C4—44no—
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2414yes—
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C4⋊Q8—28no—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840#126—216no—
841#126—216no—
842#126—216no—
843#126—216no—
844#126—216no—
845#126—216no—
846#126—28no—
847#126—28no—
848#126—28no—
849#126—216no—
850#126—216no—
851#126—216no—
852#126—216no—
853#126—216no—
854#126—216no—
855#126—28no—
856#126—28no—
857#126—28no—
858#126—28no—
859#126—28no—
860#126—28no—
861#126—28no—
862#126—28no—
863#126—28no—
864#126—28no—
865#126C2×D4116yes—
866#126C2×D4116yes—
867#126C2×D4116yes—
868#126C2×D4116yes—
869#125—28no—
870#125—28no—
871#125—28no—
872#125—28no—
873#125—28no—
874#125—28no—
875#125—28no—
876#125—28no—
877#125—24no—
878#125—28no—
879#124—28no—
880#124—28no—
881#124—28no—
882#124—24no—
883#123—28no—
884#123—28no—
885#123—28no—
886#123—28no—
887#123—28no—
888#123—28no—
889#123—28no—
890#123—28no—
891#123—44no—
892#123—44no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—28no—
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909C22⋊Q8—28no—
910C22⋊Q8—44no—
911C22⋊Q8—48no—
912C22⋊Q8—44no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—44no—
916#121—24no—
917#121—28no—
918#121—44no—
919#120—28no—
920#120—28no—
921#120—44no—
922#120—48no—
923#120—48no—
924C4×Q8—28no—
925C4×Q8—28no—
926C4×Q8—24no—
927C4×Q8—28no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—48no—
937C4×D4—48no—
938C4×D4—48no—
939#117—28no—
940#117—28no—
941#117—28no—
942#117—28no—
943#117—28no—
944#117—28no—
945#117—44no—
946#117—44no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—216no—
957C2×C4⋊C4—216no—
958C2×C4⋊C4—216no—
959C2×C4⋊C4—216no—
960C2×C4⋊C4—216no—
961C2×C4⋊C4—216no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4C2×D418yes—
964C2×C4⋊C4C2×D418yes—
965C2×C4⋊C4C2×D418yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C22⋊C4—24no—
1035C2×C22⋊C4—24no—
1036C2×C22⋊C4—24no—
1037C2×C22⋊C4—28no—
1038C2×C22⋊C4—24no—
1039C2×C22⋊C4—24no—
1040C2×C22⋊C4—24no—
1041C2×C22⋊C4—24no—
1042C2×C22⋊C4—24no—
1043C2×C22⋊C4—24no—
1044C2×C22⋊C4—216no—
1045C2×C22⋊C4—216no—
1046C2×C22⋊C4—216no—
1047C2×C22⋊C4—216no—
1048C2×C22⋊C4—216no—
1049C2×C22⋊C4—216no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4—48no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4C2×D418yes—
1054C2×C22⋊C4C2×D418yes—
1055C2×C22⋊C4C2×D418yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—28no—
1120C2×C42—28no—
1121C2×C42—28no—
1122C2×C42—28no—
1123C2×C42C2×D418yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24—22no—
1189C24—24no—
1190C24—24no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—28no—
1195C24—22no—
1196C24—28no—
1197C24—28no—
1198C24—28no—
1199C24—22no—
1200C24—22no—
1201C24—44no—
1202C24—42no—
1203C24—42no—
1204C24—44no—
1205C24—44no—
1206C24—42no—
1207C24—42no—
1208C24—416no—
1209C24—416no—
1210C24—416no—
1211C24—816no—
1212C24—816no—
1213C24C22×D414yes—
1214C242−1+414yes—
1215C24C2512yes—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219C24C2512yes—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—44no—
1231C2×Q8—42no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—28no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—416no—
1310C22×C4—416no—
1311C22×C4—416no—
1312C22×C4—416no—
1313C22×C4—416no—
1314C22×C4—416no—
1315C22×C4C22×D414yes—
1316C22×C4C22×D414yes—
1317C22×C4C22×D414yes—
1318C22×C4C22×D414yes—
1319C22×C4C22×D414yes—
1320C22×C4C22×D414yes—
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2514yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4C22×D418yes—
1410C4⋊C4C22×D418yes—
1411C4⋊C4C22×D418yes—
1412C4⋊C4C22×D418yes—
1413C4⋊C4C22×D418yes—
1414C4⋊C4C22×D418yes—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4C22×D418yes—
1470C22⋊C4C22×D418yes—
1471C22⋊C4C22×D418yes—
1472C22⋊C4C22×D418yes—
1473C22⋊C4C22×D418yes—
1474C22⋊C4C22×D418yes—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C42C22×D414yes—
1494C42C22×D414yes—
1495C42C22×D414yes—
1496C42C22×D414yes—
1497C23—28no—
1498C23—28no—
1499C23—216no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—28no—
1507C23—216no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—24no—
1512C23—28no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—24no—
1520C23—24no—
1521C23—24no—
1522C23—22no—
1523C23—44no—
1524C23—44no—
1525C23—416no—
1526C23—416no—
1527C23—416no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—416no—
1532C23—84no—
1533C23—88no—
1534C23—84no—
1535C23—84no—
1536C23—88no—
1537C23—88no—
1538C23—84no—
1539C23—864no—
1540C23C23×D414yes—
1541C23C23×D412yes—
1542C23C2×2−1+412yes—
1543C23C2×2−1+414yes—
1544C23#58512yes—
1545C23#58514yes—
1546C23#58514yes—
1547C23C2611yescharacteristic
1548Q8—84no—
1549Q8—84no—
1550Q8—82no—
1551Q8—82no—
1552Q8—84no—
1553Q8—82no—
1554D4—48no—
1555D4—416no—
1556D4—82no—
1557D4—84no—
1558D4—84no—
1559D4—164no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—28no—
1573C2×C4—28no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—416no—
1624C2×C4—48no—
1625C2×C4—416no—
1626C2×C4—416no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—164no—
1642C2×C4C23×D412yes—
1643C2×C4C23×D412yes—
1644C2×C4C23×D412yes—
1645C2×C4C23×D412yes—
1646C2×C4C23×D412yes—
1647C2×C4C23×D412yes—
1648C2×C4C23×D414yes—
1649C2×C4C23×D414yes—
1650C2×C4C23×D414yes—
1651C22—232no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—22no—
1656C22—22no—
1657C22—24no—
1658C22—24no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—24no—
1663C22—24no—
1664C22—24no—
1665C22—44no—
1666C22—44no—
1667C22—44no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—44no—
1676C22—44no—
1677C22—88no—
1678C22—832no—
1679C22—88no—
1680C22#348914yes—
1681C22#356418yescomplemented
1682C22C24×D411yescharacteristic
1683C22C22×2−1+411yescharacteristic
1684C22C2×#58512yes—
1685C22C2×#58512yes—
1686C22C2×#58511yescharacteristic
1687C4—22no—
1688C4—24no—
1689C4—22no—
1690C4—22no—
1691C4—24no—
1692C4—24no—
1693C4—22no—
1694C4—22no—
1695C4—22no—
1696C4—44no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—44no—
1712C4—44no—
1713C2—24no—
1714C2—28no—
1715C2—44no—
1716C2—82no—
1717C2—82no—
1718C2C2×#356412yes—
1719C2C2×#348911yescharacteristic
1720C2#6281111yescharacteristic
1721C2#6281111yescharacteristic
1722C2#6282612yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34988C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3564C2semidirect
2. C23×#126C2semidirect
3. #59170C2semidirect
4. #59169C2semidirect
5. #45971C2semidirect
6. #45971C2semidirect
7. #39117C2semidirect
8. #38913C2semidirect
9. #38047C2semidirect
10. #38046C2semidirect
11. #37727C2semidirect
12. #37727C2semidirect
13. #37726C2semidirect
14. #37724C2semidirect
15. #37548C2semidirect
16. #37538C2semidirect
17. #36971C2semidirect
18. #36970C2semidirect
19. #36962C2semidirect
20. #36960C2semidirect
21. #36625C2semidirect
22. #36621C2semidirect
23. #36546C2semidirect
24. #36163C2semidirect
25. #36158C2semidirect
26. #36158C2semidirect
27. #35224C2semidirect
28. #34989C2semidirect
30. #34982C2semidirect
31. #34381C2semidirect
33. C2×#563C22semidirect
34. C2×#563C22semidirect
35. C2×#556C22semidirect
36. C2×#554C22semidirect
37. C2×#552C22semidirect
38. C2×#552C22semidirect
41. C2×#544C22semidirect
43. C2×#542C22semidirect
44. C2×#541C22semidirect
45. C2×#541C22semidirect
46. C2×#539C22semidirect
47. C2×#539C22semidirect
49. C2×#533C22semidirect
50. C2×#529C22semidirect
71. #2857C22semidirect
72. #2857C22semidirect
73. #2855C22semidirect
74. #2855C22semidirect
75. #2855C22semidirect
76. #2855C22semidirect
77. #2854C22semidirect
78. #2853C22semidirect
79. #2852C22semidirect
80. #2851C22semidirect
81. #2851C22semidirect
82. #2850C22semidirect
93. #2823C22semidirect
94. #2821C22semidirect
95. #2821C22semidirect
96. #2727C22semidirect
97. #2727C22semidirect
98. #2725C22semidirect
99. #2725C22semidirect
100. #2725C22semidirect
101. #2723C22semidirect
102. #2723C22semidirect
103. #2722C22semidirect
104. #2722C22semidirect
105. #2722C22semidirect
106. #2721C22semidirect
107. #2721C22semidirect
108. #2721C22semidirect
109. #2718C22semidirect
110. #2718C22semidirect
111. #2716C22semidirect
112. #2716C22semidirect
113. #2716C22semidirect
114. #2715C22semidirect
115. #2715C22semidirect
116. #2705C22semidirect
117. #2702C22semidirect
118. #2702C22semidirect
119. #2698C22semidirect
120. #2698C22semidirect
121. #2698C22semidirect
122. #2695C22semidirect
123. #2695C22semidirect
124. #2691C22semidirect
125. #2689C22semidirect
126. #2689C22semidirect
127. #2689C22semidirect
128. #2664C22semidirect
129. #2664C22semidirect
130. #2662C22semidirect
131. #2637C22semidirect
132. #2637C22semidirect
133. #2636C22semidirect
134. #2627C22semidirect
135. #2627C22semidirect
136. #2627C22semidirect
137. #2627C22semidirect
142. #2623C22semidirect
144. #2618C22semidirect
146. #2604C22semidirect
147. #2604C22semidirect
148. #2601C22semidirect
149. #2583C22semidirect
150. #2583C22semidirect
151. #2579C22semidirect
152. #2579C22semidirect
155. #2560C22semidirect
156. #2553C22semidirect
159. #2521C22semidirect
160. #2519C22semidirect
161. #2519C22semidirect
162. #2512C22semidirect
163. #2503C22semidirect
164. #2502C22semidirect
165. #2496C22semidirect
166. #2496C22semidirect
167. #2487C22semidirect
168. #2486C22semidirect
169. #2484C22semidirect
170. #2484C22semidirect
175. #2481C22semidirect
176. #2481C22semidirect
177. #2481C22semidirect
178. #2481C22semidirect
184. #2479C22semidirect
185. #2478C22semidirect
186. #2478C22semidirect
187. #2473C22semidirect
188. #2473C22semidirect
189. #2473C22semidirect
190. #2473C22semidirect
191. #2473C22semidirect
195. #2469C22semidirect
196. #2469C22semidirect
197. #2468C22semidirect
198. #2466C22semidirect
199. #2449C22semidirect
200. #2449C22semidirect
201. #2449C22semidirect
202. #2443C22semidirect
203. #2442C22semidirect
204. #2442C22semidirect
205. #2442C22semidirect
206. #2440C22semidirect
207. #2440C22semidirect
208. #2440C22semidirect
219. #2417C22semidirect
220. #2417C22semidirect
221. #2413C22semidirect
222. #2413C22semidirect
229. #2383C22semidirect
230. #2373C22semidirect
231. #2360C22semidirect
232. #2360C22semidirect
235. #2352C22semidirect
236. D4×C4⋊C4C22semidirect
237. #2345C22semidirect
238. #2344C22semidirect
243. #2334C22semidirect
244. #2334C22semidirect
245. #2322C22semidirect
247. #2317C22semidirect
248. #2316C22semidirect
251. #2313C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×#123C22semidirect
258. C4×#121C22semidirect
262. #2296C22semidirect
263. #2290C22semidirect
264. #2285C22semidirect
265. #2283C22semidirect
293. C2×C4⋊Q8C23semidirect
294. C2×C4⋊Q8C23semidirect
295. C2×C4⋊Q8C23semidirect
296. C2×C4⋊Q8C23semidirect
297. C2×C4⋊Q8C23semidirect
310. C2×#126D4semidirect
336. C2×#126C23semidirect
337. C2×#126C23semidirect
338. C2×#126C23semidirect
339. C2×#126C23semidirect
340. C2×#125C23semidirect
341. C2×#125C23semidirect
342. C2×#125C23semidirect
343. C2×#125C23semidirect
344. C2×#125C23semidirect
345. C2×#125C23semidirect
346. C2×#125C23semidirect
347. C2×#125C23semidirect
348. C2×#125C23semidirect
349. C2×#125C23semidirect
353. C2×#124C23semidirect
363. C2×#123C23semidirect
382. C2×C22⋊Q8C23semidirect
383. C2×C22⋊Q8C23semidirect
384. C2×C22⋊Q8C23semidirect
385. C2×C22⋊Q8C23semidirect
386. C2×C22⋊Q8C23semidirect
395. C2×C4×Q8C23semidirect
396. C2×C4×Q8C23semidirect
397. C2×C4×Q8C23semidirect
398. C2×C4×Q8C23semidirect
399. C2×C4×Q8C23semidirect
400. C2×C4×Q8C23semidirect
409. C2×C4×D4C23semidirect
416. C2×#117C23semidirect
417. C2×#117C23semidirect
439. C22×C4⋊C4C23semidirect
474. #400C23semidirect
475. #400C23semidirect
476. #400C23semidirect
477. #400C23semidirect
478. #400C23semidirect
479. #400C23semidirect
480. #400C23semidirect
481. #400C23semidirect
482. #400C23semidirect
483. #400C23semidirect
490. #399C23semidirect
491. #399C23semidirect
492. #398C23semidirect
493. #398C23semidirect
494. #398C23semidirect
495. #398C23semidirect
496. #398C23semidirect
497. #398C23semidirect
498. #398C23semidirect
499. #398C23semidirect
500. #398C23semidirect
501. #398C23semidirect
502. #398C23semidirect
503. #398C23semidirect
504. #398C23semidirect
505. #398C23semidirect
506. #398C23semidirect
507. #398C23semidirect
508. #398C23semidirect
509. #398C23semidirect
523. #397C23semidirect
524. #397C23semidirect
534. #396C23semidirect
535. #396C23semidirect
536. #396C23semidirect
537. #396C23semidirect
538. #396C23semidirect
539. #395C23semidirect
540. #395C23semidirect
541. #395C23semidirect
542. #395C23semidirect
543. #395C23semidirect
544. #395C23semidirect
554. #394C23semidirect
562. #391C23semidirect
563. #391C23semidirect
564. #391C23semidirect
565. #391C23semidirect
566. #391C23semidirect
567. #391C23semidirect
571. #390C23semidirect
572. #389C23semidirect
573. #389C23semidirect
574. #389C23semidirect
575. #389C23semidirect
576. #389C23semidirect
577. #389C23semidirect
578. #389C23semidirect
579. #389C23semidirect
580. #389C23semidirect
581. #389C23semidirect
582. #389C23semidirect
583. #389C23semidirect
584. #389C23semidirect
585. #389C23semidirect
586. #389C23semidirect
587. #389C23semidirect
588. #389C23semidirect
589. #389C23semidirect
590. #389C23semidirect
591. #389C23semidirect
592. #389C23semidirect
593. #389C23semidirect
614. #388C23semidirect
615. #388C23semidirect
616. #388C23semidirect
617. #388C23semidirect
618. #388C23semidirect
619. #388C23semidirect
620. #388C23semidirect
621. #387C23semidirect
622. #387C23semidirect
623. #387C23semidirect
624. #387C23semidirect
625. #387C23semidirect
626. #387C23semidirect
627. #387C23semidirect
628. #387C23semidirect
629. #387C23semidirect
630. #387C23semidirect
631. #387C23semidirect
632. #387C23semidirect
633. #387C23semidirect
634. #387C23semidirect
635. #387C23semidirect
636. #387C23semidirect
637. #387C23semidirect
638. #387C23semidirect
639. #387C23semidirect
640. #387C23semidirect
641. #387C23semidirect
695. #385C23semidirect
696. #385C23semidirect
697. #385C23semidirect
698. #384C23semidirect
699. #384C23semidirect
700. #384C23semidirect
701. #383C23semidirect
702. #382C23semidirect
703. #382C23semidirect
704. #382C23semidirect
705. #382C23semidirect
738. #380C23semidirect
739. #380C23semidirect
751. C4×C4⋊C4C23semidirect
752. C4×C4⋊C4C23semidirect
753. C4×C4⋊C4C23semidirect
754. C4×C4⋊C4C23semidirect
755. C4×C4⋊C4C23semidirect
756. C4×C4⋊C4C23semidirect
757. C4×C4⋊C4C23semidirect
758. C4×C4⋊C4C23semidirect
771. C4×C22⋊C4C23semidirect
772. #376C23semidirect
1681. C22#3564semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#35642
C23×#1262
#591702
#591692
#459712
#391172
#389132
#380472
#380462
#377272
#377262
#377242
#375482
#375382
#369712
#369702
#369622
#369602
#366252
#366212
#365462
#361632
#361582
#352242
#349892
#349882
#349822
#343812